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Finding the Fourth Proportional to 879.02, 1,319.34 and 826.10

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Solution

The fourth proportional to 879.02, 1,319.34 and 826.10 is: 1,239.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    879.02 : 1,319.34 = 826.10 : x
  2. Step 2: Convert to fraction form
    879.02/1,319.34 = 826.10/x
  3. Step 3: Cross multiply
    879.02x = 1,319.34 × 826.10
  4. Step 4: Simplify right side
    879.02x = 1,089,906.77
  5. Step 5: Solve for x
    x = 1,089,906.77/879.02
  6. Step 6: Final answer
    x = 1,239.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.